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freeCodeCamp/curriculum/challenges/chinese/10-coding-interview-prep/project-euler/problem-451-modular-inverses.chinese.md
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---
id: 5900f5311000cf542c510042
challengeType: 5
title: 'Problem 451: Modular inverses'
videoUrl: ''
localeTitle: 问题451模逆
---
## Description
<section id="description">考虑数字15.有八个正数小于15它们与151,2,4,7,8,11,13,14相互作用。这些数模15的模数逆是1,8,4 13,2,11,7,14因为1 * 1 mod 15 = 1 2 * 8 = 16 mod 15 = 1 4 * 4 = 16 mod 15 = 1 7 * 13 = 91 mod 15 = 1 11 * 11 = 121 mod 15 = 1 14 * 14 = 196 mod 15 = 1 <p>设In是小于n-1的最大正数m使得m modulo n的模逆与m本身相等。所以我15= 11。我100= 51和I7= 1。 </p><p>求3Σn≤2·107的ΣIn </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler451()</code>应该返回153651073760956。
testString: assert.strictEqual(euler451(), 153651073760956);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler451() {
// Good luck!
return true;
}
euler451();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
/section>